Polytope 3638
Image of polytope 3638 PALP id: 3638
grdb id: 306682
Integer points: [ 1 0 0 -3 1 -3 0 -5 -1 -2 -3 -4 0 -1 -2 -1 -2 1 0 -1]
[ 0 1 0 -2 2 -3 1 -4 0 -1 -2 -3 1 0 -1 -1 -2 1 0 -1]
[ 0 0 1 -2 2 -2 2 -3 1 0 -1 -2 1 0 -1 0 -1 1 0 -1]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
109 rank 3, number 5 x*y2*z2 + 2*x*y*z + y*z2 + 4*y*z + x + y + z + 5*x-1*z + 7*x-1 + 3*x-1*y-1 + 2*x-1*y-1*z-1 + 10*x-2*y-1 + 5*x-2*y-1*z-1 + 3*x-2*y-2*z-1 + 10*x-3*y-2*z-1 + x-3*y-2*z-2 + x-3*y-3*z-2 + 5*x-4*y-3*z-2 + x-5*y-4*z-3
39 ? x*y2*z2 + 2*x*y*z + y*z2 + 3*y*z + x + y + z + 5*x-1*z + 4*x-1 + 3*x-1*y-1 + 2*x-1*y-1*z-1 + 10*x-2*y-1 + 3*x-2*y-1*z-1 + 3*x-2*y-2*z-1 + 10*x-3*y-2*z-1 + x-3*y-2*z-2 + x-3*y-3*z-2 + 5*x-4*y-3*z-2 + x-5*y-4*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 160 1 Lattice Minkowski decompositions of facet 160
Image of facet 1 2 irreducible and admissible
Image of facet 146 1 Lattice Minkowski decompositions of facet 146
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 9 1 irreducible and admissible
previous:polytope 3637
next:polytope 3639